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Finding the Third Proportional to 329,408 and 670,448

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Solution

The third proportional to 329,408 and 670,448 is: 1,364,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,408 : 670,448 = 670,448 : x
  2. Step 2: Convert to fraction form
    329,408/670,448 = 670,448/x
  3. Step 3: Cross multiply
    329,408x = 670,448 × 670,448
  4. Step 4: Simplify right side
    329,408x = 449,500,520,704
  5. Step 5: Solve for x
    x = 449,500,520,704/329,408
  6. Step 6: Final answer
    x = 1,364,570.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.